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  •   DSpace@Işık
  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution

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Date

2018-04

Author

Demiray, Hilmi
El-Zahar, Essam Roshdy

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Citation

Demiray, H. & El-Zahar, E. R. (2018). Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution. Physics Of Plasmas, 25(4), 1-8. doi:10.1063/1.5021729

Abstract

We consider the nonlinear propagation of electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations of the above described plasma are re-examined in the cylindrical (spherical) coordinates by employing the reductive perturbation technique. The modified cylindrical (spherical) KdV equation with fractional power nonlinearity is obtained as the evolution equation. Due to the nature of nonlinearity, this evolution equation cannot be reduced to the conventional KdV equation. A new family of closed form analytical approximate solution to the evolution equation and a comparison with numerical solution are presented and the results are depicted in some 2D and 3D figures. The results reveal that both solutions are in good agreement and the method can be used to obtain a new progressive wave solution for such evolution equations. Moreover, the resulting closed form analytical solution allows us to carry out a parametric study to investigate the effect of the physical parameters on the solution behavior of the modified cylindrical (spherical) KdV equation.

Source

Physics Of Plasmas

Volume

25

Issue

4

URI

https://hdl.handle.net/11729/1301
http://dx.doi.org/10.1063/1.5021729

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]

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